Atkin-Lehner |
2- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
85840c |
Isogeny class |
Conductor |
85840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-27468800000000 = -1 · 216 · 58 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -5 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5184,-205516] |
[a1,a2,a3,a4,a6] |
Generators |
[11028:226250:27] |
Generators of the group modulo torsion |
j |
3760754329151/6706250000 |
j-invariant |
L |
6.1402853653256 |
L(r)(E,1)/r! |
Ω |
0.349423227407 |
Real period |
R |
4.3931576970483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10730c1 |
Quadratic twists by: -4 |